101389313 has 16 divisors (see below), whose sum is σ = 111783936. Its totient is φ = 91642320.

The previous prime is 101389289. The next prime is 101389319. The reversal of 101389313 is 313983101.

It is a cyclic number.

It is not a de Polignac number, because 101389313 - 2¹⁶ = 101323777 is a prime.

It is a super-2 number, since 2×101389313² = 20559585581223938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101389319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29006 + ... + 32312.

It is an arithmetic number, because the mean of its divisors is an integer number (6986496).

Almost surely, 2^101389313 is an apocalyptic number.

It is an amenable number.

101389313 is a deficient number, since it is larger than the sum of its proper divisors (10394623).

101389313 is a wasteful number, since it uses less digits than its factorization.

101389313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 101389313 is about 10069.2260377846. The cubic root of 101389313 is about 466.2985447805.

The spelling of 101389313 in words is "one hundred one million, three hundred eighty-nine thousand, three hundred thirteen".